problem with parfor and big sparse matrix

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I have the following code but I have to run it for n>10^6. For n=10^5 the memory is over. I have 16gb. Is there any efficient way to do this?
n = 10^6;
m = n/2;
H = sparse(m,n);
parfor jj=1:n
pos = sample(cumulative);
H(:,jj) = (rand(m,1) > 1 - degrees(pos)/m)+0.0;
end

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